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Numerical Methods for Studying Self-similar Propagation of Viscous Gravity Currents
2019
A strongly implicit, nonlinear Crank-Nicolson-based finite-difference scheme was constructed for the numerical study of the self-similar behavior of viscous gravity currents. Viscous gravity currents are low Reynolds number flow phenomena in which a dense, viscous fluid displaces a lighter (usually immiscible) fluid. Under the lubrication approximation, the mathematical description of the spreading of these fluids is reduced to solving a nonlinear parabolic partial differential equation for the
doi:10.25394/pgs.8044457.v1
fatcat:bsnzcukp5nhczewgjgn7blx65q